Search a number
-
+
19674270225 = 365210392
BaseRepresentation
bin10010010100101011…
…011000101000010001
31212210010121111000000
4102110223120220101
5310243103121400
613012131520213
71264355352261
oct222453305021
955703544000
1019674270225
118386681465
123990a59069
131b1706b71c
14d48d357a1
157a2378600
hex494ad8a11

19674270225 has 63 divisors (see below), whose sum is σ = 36612648363. Its totient is φ = 10482845040.

The previous prime is 19674270197. The next prime is 19674270227. The reversal of 19674270225 is 52207247691.

The square root of 19674270225 is 140265.

It is a perfect power (a square), and thus also a powerful number.

19674270225 is a `hidden beast` number, since 1 + 96 + 74 + 270 + 225 = 666.

It can be written as a sum of positive squares in only one way, i.e., 7082737281 + 12591532944 = 84159^2 + 112212^2 .

It is not a de Polignac number, because 19674270225 - 213 = 19674262033 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (19674270227) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 18935256 + ... + 18936294.

Almost surely, 219674270225 is an apocalyptic number.

19674270225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

19674270225 is the 140265-th square number.

19674270225 is the 70133-rd centered octagonal number.

It is an amenable number.

19674270225 is a deficient number, since it is larger than the sum of its proper divisors (16938378138).

19674270225 is an frugal number, since it uses more digits than its factorization.

19674270225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2106 (or 1047 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 19674270225 in words is "nineteen billion, six hundred seventy-four million, two hundred seventy thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 45 75 81 135 225 243 405 675 729 1039 1215 2025 3117 3645 5195 6075 9351 15585 18225 25975 28053 46755 77925 84159 140265 233775 252477 420795 701325 757431 1079521 1262385 2103975 3238563 3787155 5397605 6311925 9715689 16192815 18935775 26988025 29147067 48578445 80964075 87441201 145735335 242892225 262323603 437206005 728676675 786970809 1311618015 2186030025 3934854045 6558090075 19674270225